Pairs of k-step reachability and m-step observability matrices

被引:0
|
作者
Ferrante, Augusto [1 ]
Wimmer, Harald K. [2 ]
机构
[1] Univ Padua, Dipartimento Ingn Informaz, I-35131 Padua, Italy
[2] Univ Wurzburg, Mathemat Inst, D-97074 Wurzburg, Germany
来源
SPECIAL MATRICES | 2013年 / 1卷
关键词
Reachability matrix; observability matrix; generalized inverses; common solutions;
D O I
10.2478/spma-2013-0005
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let V and W be matrices of size n x pk and qm x n, respectively. A necessary and sufficient condition is given for the existence of a triple (A, B, C) such that V a k-step reachability matrix of (A, B) andW an m-step observability matrix of (A, C).
引用
收藏
页码:25 / 27
页数:3
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